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Finding the Fourth Proportional to 3,054, 4,210.20 and 2,171.82

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Solution

The fourth proportional to 3,054, 4,210.20 and 2,171.82 is: 2,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 4,210.20 = 2,171.82 : x
  2. Step 2: Convert to fraction form
    3,054/4,210.20 = 2,171.82/x
  3. Step 3: Cross multiply
    3,054x = 4,210.20 × 2,171.82
  4. Step 4: Simplify right side
    3,054x = 9,143,796.56
  5. Step 5: Solve for x
    x = 9,143,796.56/3,054
  6. Step 6: Final answer
    x = 2,994.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.